%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN724-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:29:26 AM UTC 2026
% Result : Unsatisfiable 8.22s 2.52s
% Output : CNFRefutation 8.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 5 unt; 4 nHn; 19 RR)
% Number of literals : 37 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm31_3,negated_conjecture,
( ~ r(X0)
| s(X0) ) ).
cnf(thm31_4,negated_conjecture,
( r(sk2)
| r(sk1) ) ).
cnf(thm31_9,negated_conjecture,
( ~ s(sk2)
| ~ r(sk2)
| r(sk1) ) ).
cnf(thm31_10,negated_conjecture,
( ~ s(sk1)
| r(sk2) ) ).
cnf(thm31_15,negated_conjecture,
( ~ s(sk2)
| ~ s(sk1)
| ~ r(sk2) ) ).
cnf(c0,plain,
( ~ r(X0)
| s(X0) ),
inference(clausification,[status(esa)],[thm31_3]) ).
cnf(c1,plain,
( r(sk2)
| r(sk1) ),
inference(clausification,[status(esa)],[thm31_4]) ).
cnf(c2,plain,
( ~ s(sk2)
| ~ r(sk2)
| r(sk1) ),
inference(clausification,[status(esa)],[thm31_9]) ).
cnf(c3,plain,
( ~ s(sk1)
| r(sk2) ),
inference(clausification,[status(esa)],[thm31_10]) ).
cnf(c4,plain,
( ~ s(sk2)
| ~ s(sk1)
| ~ r(sk2) ),
inference(clausification,[status(esa)],[thm31_15]) ).
cnf(d0,plain,
( s(sk1)
| r(sk2) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( r(sk2)
| r(sk2) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( ~ s(sk2)
| r(sk1) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
s(sk2),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d4,plain,
r(sk1),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
s(sk1),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
( ~ s(sk1)
| ~ s(sk2) ),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d7,plain,
~ s(sk1),
inference(resolution,[status(thm)],[d3,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN724-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n007.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 18:19:54 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.22/2.52 % SZS status Unsatisfiable for theBenchmark.p
% 8.22/2.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------